<span>The <u>correct answer</u> is:
576 sq. cm.
Explanation:
The surface area of a figure is the sum of the areas of the faces of the figure.
The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.
The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.
There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.
The area of the base is given by length times width, or 12*12 = 144 sq. cm.
This gives us a total surface area of 432+144=576 sq. cm.</span></span>
Divide your shape into two different shapes. a cube and a rectangular prism.
the cube has the measurements of 20*20*20 giving it a volume of 8000 inches^3
the rectangular prism has the measurements of 40*30*20 giving it a volume of 24000 inches^3
now add them together to get 32,000 inches^3 as your answer
Answer:
728
Step-by-step explanation:
formula is
Tn= a+(n-1)d
where a is the first term, d is the common difference and n is the term you are looking for
<h3>T80 = 17+(80-1)*9</h3><h3>T80= 17+ (79)*9</h3><h3>T80= 17 + 711</h3><h3>T80= 728</h3>
Answer:
a) Red marble: 6/17
b) Green marble: 11/17
c) Purple marble : 0/17 = 0
d) a red or a green marble: 1
Step-by-step explanation:
Number of marbles: 17
Probability to pick one red marble: (# successes) / (# total) = 6/17
Probability to pick a green marble: (# successes) / (# total) = 11/17
Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0
Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1
